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ESTIMATIONS FOR THE ORDER OF SOLUTIONS OF LINEAR COMPLEX DIFFERENTIAL EQUATIONS

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초록

We research the properties of solutions of general higher order non-homogeneous linear differential equations and apply the hyper order to obtain more precise estimation for the growth of solutions of in¯nite order.

Abstract

We research the properties of solutions of general higher order non-homogeneous linear differential equations and apply the hyper order to obtain more precise estimation for the growth of solutions of in¯nite order.

참고문헌 (11)

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  4. Zong-Xuan Chen, "HYPER ORDER OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS IN THE DISC", 순수 및 응용수학, 16(1), pp.155~165 (2009), 한국수학교육학회
  5. Z.X. Chen, "The hyper order of solutions of second order differential equations and subnormal solutions of periodic equations", Taiwanese J. Math, 14, pp.611~628 (2011)
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  8. J. Heittokangas, "On complex differential equations in the unit disc", Ann. Acad. Sci. Fenn. Math. Diss, 122, pp.1~54 (2000)
  9. CH. Pommerenke, "On the mean growth of the solutions of complex linear differential equations in the disk", Complex Variables, 1, pp.23~38 (1982)
  10. H. Wittich, "Zur Theorie linearer differentialgleichungen im komplexen", Ann. Acad. Sci. Fenn. Ser. A. I, 379, pp.1~18 (1996)
  11. L. Yang, "Value distribution theory. Revised edition of the original Chinese edition" (1993), Springer-Verlag, Science Press

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